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Finding the Fourth Proportional to 193,293.21, 289,959.72 and 66,933.21

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Solution

The fourth proportional to 193,293.21, 289,959.72 and 66,933.21 is: 100,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,293.21 : 289,959.72 = 66,933.21 : x
  2. Step 2: Convert to fraction form
    193,293.21/289,959.72 = 66,933.21/x
  3. Step 3: Cross multiply
    193,293.21x = 289,959.72 × 66,933.21
  4. Step 4: Simplify right side
    193,293.21x = 19,407,934,830.30
  5. Step 5: Solve for x
    x = 19,407,934,830.30/193,293.21
  6. Step 6: Final answer
    x = 100,406.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.